Question

Four cows are tethered at four corners of a square plot of side 50m, so that they just cannot reach one another. What area will be left un-grazed?

Answer 1

Given,

Side of square plot = 50 m

Radius of a quadrant = 25 m

So, we can tell

Area of plot left un-grazed = Area of the plot – 4 x (area of a quadrant)

= Side² – 4 x (1/4 x πr²)

= 50² – 22/7 x (25)²

= 2500 – 1964.28

= 535.72 m²